Planar beam

Figure 1. Stresses σ_x(x) and τ(x) of a three layer, homogeneous cantilever, clamped in x = 0, loaded in the opposite extremity by a quadratic shear distribution and modeled by means of 64 elements. It is evident that the model under investigation is able to catch the boundary effects of bounded extremity.

Figure 2. Comparison of section stress distribution in a laminated beam. The red dotted line is the solution obtained from the beam model, the blue continue one is the overkilled solution of the planar problem under investigation.